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One of the disadvantages of orthogonal frequency division multiplexing (OFDM) systems is that OFDM signals may have high peak-to-average power ratio (PAPR). Almost all the previously proposed coding approaches dealing with this problem employ block codes. In this paper, we propose terminated convolutional codes with offset for PAPR reduction. The constructed convolutional codes, which can be easily decoded by using the Viterbi algorithm, have low PAPR and acceptable code rates.